GCF of 341/350, 1639/600
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 341/350, 1639/600 i.e 11/4200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 341/350, 1639/600.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 341/350,1639/600?
Given fractions are 341/350,1639/600
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 341/350,1639/600, numerators are 341,1639
Denominators are 350,600
The GCF of 341,1639 is 11 .
LCM of 350,600 is 4200.
The greatest common factor of 341/350,1639/600 = [GCF of 341,1639]/[LCM of 350,600]= 11/4200
Therefore, the GCF of 341/350,1639/600 is 11/4200.
To find the highest common factor of 341,1639, we have to find the factors of both numbers and list the highest common factor.
The factors of 341 are 1, 11, 31, 341
The factors of 1639 are 1, 11, 149, 1639
The HCF of 341,1639 is 11.
Lets's calculate GCF of 341,1639
| 11 | 341, 1639 |
| 31, 149 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 341,1639 By Matching Biggest Common Factor Method
Now, list down the factors of 341
:1,11,31,341
Now, list down the factors of 1639
:1,11,149,1639
Greatest Common Factor
We found the factors 341,1639 . The biggest common factor number is the GCF number.
So the greatest common factor 341,1639 is 11.
Lets's calculate LCM of 350,600
| 2 | 350, 600 |
| 5 | 175, 300 |
| 5 | 35, 60 |
| 7, 12 |
∴ So the LCM of the given numbers is 2 x 5 x 5 x 7 x 12 = 4200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/4200
Therefore, the GCF of Fractions 341/350,1639/600 is 11/4200
Least Common Multiple of 350,600 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 350,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(350,600) = 50
common factors(in case of two or more numbers have common factors) = 1
GCF(350,600) x common factors =50 x 1 = 50
LCM(350,600) = ( 350 × 600 ) / 50
LCM(350,600) = 210000 / 50
LCM(350,600) = 4200
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FAQs on GCF of Fractions of 341/350, 1639/600
1. What is the HCF of 341,1639?
The HCF of 341,1639 is 11
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 341/350, 1639/600?
Answer: GCF of Numerators as per given numbers 341/350, 1639/600 is
GCF of Numerators i.e. for 341,1639 is 11
LCM of denominators i.e. for 350,600 is 4200.
Thus, GCF of Fractions is 11/4200.Finally, GCF of Fractions for 341/350, 1639/600 is 11/4200.